Examples of 'euclidean algorithm' in a sentence
Meaning of "euclidean algorithm"
The Euclidean algorithm is a method used to find the greatest common divisor (GCD) of two numbers. It involves repeatedly dividing the larger number by the smaller number until the remainder is zero
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- Any of certain algorithms first described in Euclid's Elements.
- Specifically, a method, based on a division algorithm, for finding the greatest common divisor (gcd) of two given integers; any of certain variations or generalisations of said method.
How to use "euclidean algorithm" in a sentence
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euclidean algorithm
Euclidean algorithm and the greatest common divisor.
This may be done using the Euclidean algorithm.
The extended Euclidean algorithm finds k quickly.
This is done by the extended Euclidean algorithm.
The Euclidean algorithm has many theoretical and practical applications.
This can be done by the Euclidean algorithm for polynomials.
It can be found using a simple variant of the Euclidean algorithm.
Using the extended Euclidean algorithm we can find such that.
It can be constructed using the extended Euclidean algorithm.
The Euclidean algorithm is one of the oldest algorithms in common use.
A much more efficient method is the Euclidean algorithm.
The extended Euclidean algorithm is particularly useful when a and b are coprime.
This can easily be calculated using the Euclidean algorithm.
The Euclidean algorithm has a close relationship with continued fractions.
Thus the iteration of the Euclidean algorithm becomes simply.
See also
Such a linear combination can be obtained by means of the extended Euclidean algorithm.
It was first viable generalization of the Euclidean algorithm to three or more variables.
A fast way to determine whether two numbers are coprime is given by the Euclidean algorithm.
Many of the other applications of the Euclidean algorithm carry over to Gaussian integers.
The second prs is obtained by applying the modified Euclidean algorithm.
The Euclidean algorithm for computing greatest common divisors works by a sequence of Euclidean divisions.
This is often computed using the extended Euclidean algorithm.
The Euclidean algorithm for computing the greatest common divisor of two integers is one example.
This is usually used as the base case in the Euclidean algorithm.
The corresponding conclusions about the Euclidean algorithm and its applications hold even for such polynomials.
A modular multiplicative inverse of a modulo m can be found by using the extended Euclidean algorithm.
The Euclidean algorithm is explained in book seven of Elements.
Euclidean domains are integral domains in which the Euclidean algorithm can be carried out.
The Euclidean algorithm may be used to find this GCD efficiently.
By using the extended Euclidean algorithm.
The Extended Euclidean algorithm always produces one of these two minimal pairs.
However there is a more efficient way using the Euclidean Algorithm.
The oldest algorithm known today is the Euclidean algorithm see also Extended Euclidean algorithm.
The specific decoding algorithm employed in this embodiment is the Modified Extended Euclidean Algorithm.
Extended Euclidean algorithm.
The Indian method involves using the Euclidean algorithm.
The validity of the Euclidean algorithm can be proven by a two-step argument.
This algorithm is called the Euclidean Algorithm.
The real-number Euclidean algorithm differs from its integer counterpart in two respects.
And you can find A inverse using the Euclidean algorithm.
The Euclidean algorithm calculates the greatest common divisor ( GCD ) of two natural numbers a and b.
For example, it requires the use of the extended Euclidean algorithm.
Extended Euclidean Algorithm for multiplicative inversion in m2GF.
In the case of the integers, such a solution is provided by extended Euclidean algorithm.
Otherwise, let be computed by the Extended Euclidean Algorithm applied to, such that we have.
Until this point, the proof is the same as that of the classical Euclidean algorithm.
Modified Extended Euclidean Algorithm for multiplicative inverse in m2GF field.
Denoting the greatest common divisor of as, we use the Euclidean algorithm as follows,.
An Euclidean algorithm is an iterative approach for solving equation ( 1 ).
If the two integers have a common factor, it can be eliminated using the Euclidean algorithm.
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